the perimeter of rectangular swimming pool is 154 if length is two or more than twice its breadth what are the length and breadth of the pool
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Answer
Explanation:p=2(l.w)
154=2(2w.w)
W=19.25
L=38.5
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Question :
The perimeter of rectangular swimming pool is 154cm .If length is two or more than twice its breadth. what are the length and breadth of the pool?
Formula used :
Perimeter of a Rectangle = 2(l+b)
Solution :
Let the breadth(b)of swimming pool be x
⇒Length of swimming pool,l = 2+2x
Given Perimeter of rectangular swimming pool= 154cm
We know that ,
Perimeter of a rectangle = 2(l+b)
⇒154=2(2+2x+x)
⇒154 = 2(2+3x)
⇒154=4+6x
⇒154-4=6x
⇒150=6x
⇒x= 150/6= 25 cm
Therefore,
Breadth of swimming pool,b = x= 25cm
and length of swimming pool,
l = 2+2x = 2+50= 52cm
_________________________
Verification:
l = 52 cm
b = 25cm
perimeter
= 2(l+b)
= 2(52+25)
= 2×77= 154cm
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